TSTP Solution File: SEV149^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV149^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:02:00 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 95 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 1580 ( 602 equ; 0 cnn)
% Maximal formula atoms : 72 ( 16 avg)
% Number of connectives : 2084 ( 320 ~; 394 |; 190 &;1091 @)
% ( 5 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 129 ( 129 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 403 ( 0 ^ 331 !; 72 ?; 403 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a ).
thf(func_def_5,type,
sK1: a ).
thf(func_def_6,type,
sK2: a > a > $o ).
thf(func_def_7,type,
sK3: a > a > $o ).
thf(func_def_8,type,
sK4: ( a > $o ) > a ).
thf(func_def_9,type,
sK5: ( a > $o ) > a ).
thf(func_def_10,type,
sK6: ( a > $o ) > a ).
thf(func_def_11,type,
sK7: a > $o ).
thf(func_def_12,type,
sK8: a > a > a > $o ).
thf(func_def_13,type,
sK9: a > a > a > $o ).
thf(func_def_14,type,
sK10: a > a > $o ).
thf(func_def_15,type,
sK11: a > a > $o ).
thf(func_def_18,type,
ph13:
!>[X0: $tType] : X0 ).
thf(f1199,plain,
$false,
inference(avatar_sat_refutation,[],[f167,f200,f836,f859,f884,f972,f1198]) ).
thf(f1198,plain,
( ~ spl12_14
| ~ spl12_54
| spl12_55
| ~ spl12_57 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
thf(f1197,plain,
( $false
| ~ spl12_14
| ~ spl12_54
| spl12_55
| ~ spl12_57 ),
inference(subsumption_resolution,[],[f1196,f822]) ).
thf(f822,plain,
( ( $true
= ( sK7 @ ( sK6 @ sK7 ) ) )
| ~ spl12_54 ),
inference(avatar_component_clause,[],[f821]) ).
thf(f821,plain,
( spl12_54
<=> ( $true
= ( sK7 @ ( sK6 @ sK7 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_54])]) ).
thf(f1196,plain,
( ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) )
| ~ spl12_14
| spl12_55
| ~ spl12_57 ),
inference(subsumption_resolution,[],[f1195,f30]) ).
thf(f30,plain,
( $true
!= ( sK7 @ sK0 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
( ! [X4: a > $o] :
( ( ( ( X4 @ ( sK4 @ X4 ) )
!= $true )
& ( ( $true
= ( sK2 @ sK1 @ ( sK4 @ X4 ) ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X4 ) )
= $true ) ) )
| ( $true
= ( X4 @ sK0 ) )
| ( ( $true
!= ( X4 @ ( sK5 @ X4 ) ) )
& ( ( X4 @ ( sK6 @ X4 ) )
= $true )
& ( ( ( sK2 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) )
= $true )
| ( $true
= ( sK3 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) ) ) ) ) )
& ( $true
!= ( sK7 @ sK0 ) )
& ! [X9: a,X10: a] :
( ( ( sK7 @ X9 )
= $true )
| ( ! [X12: a] :
( ( $true
= ( sK8 @ X10 @ X9 @ X12 ) )
| ( $true
!= ( sK2 @ X10 @ X12 ) ) )
& ! [X13: a,X14: a] :
( ( ( sK8 @ X10 @ X9 @ X14 )
!= $true )
| ( $true
!= ( sK2 @ X14 @ X13 ) )
| ( $true
= ( sK8 @ X10 @ X9 @ X13 ) ) )
& ( $true
!= ( sK8 @ X10 @ X9 @ X9 ) )
& ! [X16: a] :
( ( ( sK9 @ X10 @ X9 @ X16 )
= $true )
| ( $true
!= ( sK3 @ X10 @ X16 ) ) )
& ( ( sK9 @ X10 @ X9 @ X9 )
!= $true )
& ! [X17: a,X18: a] :
( ( ( sK9 @ X10 @ X9 @ X17 )
!= $true )
| ( $true
!= ( sK3 @ X17 @ X18 ) )
| ( ( sK9 @ X10 @ X9 @ X18 )
= $true ) ) )
| ( $true
!= ( sK7 @ X10 ) ) )
& ! [X19: a] :
( ( ! [X21: a] :
( ( $true
= ( sK10 @ X19 @ X21 ) )
| ( ( sK2 @ sK1 @ X21 )
!= $true ) )
& ( ( sK10 @ X19 @ X19 )
!= $true )
& ! [X22: a,X23: a] :
( ( ( sK10 @ X19 @ X23 )
!= $true )
| ( $true
!= ( sK2 @ X23 @ X22 ) )
| ( $true
= ( sK10 @ X19 @ X22 ) ) )
& ! [X25: a,X26: a] :
( ( $true
!= ( sK3 @ X26 @ X25 ) )
| ( ( sK11 @ X19 @ X26 )
!= $true )
| ( $true
= ( sK11 @ X19 @ X25 ) ) )
& ! [X27: a] :
( ( ( sK3 @ sK1 @ X27 )
!= $true )
| ( ( sK11 @ X19 @ X27 )
= $true ) )
& ( ( sK11 @ X19 @ X19 )
!= $true ) )
| ( ( sK7 @ X19 )
= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f8,f16,f15,f14,f13,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a,X1: a,X2: a > a > $o,X3: a > a > $o] :
( ! [X4: a > $o] :
( ? [X5: a] :
( ( ( X4 @ X5 )
!= $true )
& ( ( ( X2 @ X1 @ X5 )
= $true )
| ( $true
= ( X3 @ X1 @ X5 ) ) ) )
| ( $true
= ( X4 @ X0 ) )
| ? [X6: a,X7: a] :
( ( ( X4 @ X6 )
!= $true )
& ( ( X4 @ X7 )
= $true )
& ( ( ( X2 @ X7 @ X6 )
= $true )
| ( ( X3 @ X7 @ X6 )
= $true ) ) ) )
& ? [X8: a > $o] :
( ( $true
!= ( X8 @ X0 ) )
& ! [X9: a,X10: a] :
( ( ( X8 @ X9 )
= $true )
| ( ? [X11: a > $o] :
( ! [X12: a] :
( ( ( X11 @ X12 )
= $true )
| ( $true
!= ( X2 @ X10 @ X12 ) ) )
& ! [X13: a,X14: a] :
( ( $true
!= ( X11 @ X14 ) )
| ( $true
!= ( X2 @ X14 @ X13 ) )
| ( $true
= ( X11 @ X13 ) ) )
& ( ( X11 @ X9 )
!= $true ) )
& ? [X15: a > $o] :
( ! [X16: a] :
( ( $true
= ( X15 @ X16 ) )
| ( ( X3 @ X10 @ X16 )
!= $true ) )
& ( ( X15 @ X9 )
!= $true )
& ! [X17: a,X18: a] :
( ( $true
!= ( X15 @ X17 ) )
| ( $true
!= ( X3 @ X17 @ X18 ) )
| ( ( X15 @ X18 )
= $true ) ) ) )
| ( ( X8 @ X10 )
!= $true ) )
& ! [X19: a] :
( ( ? [X20: a > $o] :
( ! [X21: a] :
( ( $true
= ( X20 @ X21 ) )
| ( $true
!= ( X2 @ X1 @ X21 ) ) )
& ( $true
!= ( X20 @ X19 ) )
& ! [X22: a,X23: a] :
( ( $true
!= ( X20 @ X23 ) )
| ( ( X2 @ X23 @ X22 )
!= $true )
| ( $true
= ( X20 @ X22 ) ) ) )
& ? [X24: a > $o] :
( ! [X25: a,X26: a] :
( ( ( X3 @ X26 @ X25 )
!= $true )
| ( $true
!= ( X24 @ X26 ) )
| ( ( X24 @ X25 )
= $true ) )
& ! [X27: a] :
( ( $true
!= ( X3 @ X1 @ X27 ) )
| ( ( X24 @ X27 )
= $true ) )
& ( ( X24 @ X19 )
!= $true ) ) )
| ( ( X8 @ X19 )
= $true ) ) ) )
=> ( ! [X4: a > $o] :
( ? [X5: a] :
( ( ( X4 @ X5 )
!= $true )
& ( ( $true
= ( sK2 @ sK1 @ X5 ) )
| ( $true
= ( sK3 @ sK1 @ X5 ) ) ) )
| ( $true
= ( X4 @ sK0 ) )
| ? [X7: a,X6: a] :
( ( ( X4 @ X6 )
!= $true )
& ( ( X4 @ X7 )
= $true )
& ( ( $true
= ( sK2 @ X7 @ X6 ) )
| ( $true
= ( sK3 @ X7 @ X6 ) ) ) ) )
& ? [X8: a > $o] :
( ( $true
!= ( X8 @ sK0 ) )
& ! [X10: a,X9: a] :
( ( ( X8 @ X9 )
= $true )
| ( ? [X11: a > $o] :
( ! [X12: a] :
( ( ( X11 @ X12 )
= $true )
| ( $true
!= ( sK2 @ X10 @ X12 ) ) )
& ! [X14: a,X13: a] :
( ( $true
!= ( X11 @ X14 ) )
| ( $true
!= ( sK2 @ X14 @ X13 ) )
| ( $true
= ( X11 @ X13 ) ) )
& ( ( X11 @ X9 )
!= $true ) )
& ? [X15: a > $o] :
( ! [X16: a] :
( ( $true
= ( X15 @ X16 ) )
| ( $true
!= ( sK3 @ X10 @ X16 ) ) )
& ( ( X15 @ X9 )
!= $true )
& ! [X18: a,X17: a] :
( ( $true
!= ( X15 @ X17 ) )
| ( $true
!= ( sK3 @ X17 @ X18 ) )
| ( ( X15 @ X18 )
= $true ) ) ) )
| ( ( X8 @ X10 )
!= $true ) )
& ! [X19: a] :
( ( ? [X20: a > $o] :
( ! [X21: a] :
( ( $true
= ( X20 @ X21 ) )
| ( ( sK2 @ sK1 @ X21 )
!= $true ) )
& ( $true
!= ( X20 @ X19 ) )
& ! [X23: a,X22: a] :
( ( $true
!= ( X20 @ X23 ) )
| ( $true
!= ( sK2 @ X23 @ X22 ) )
| ( $true
= ( X20 @ X22 ) ) ) )
& ? [X24: a > $o] :
( ! [X26: a,X25: a] :
( ( $true
!= ( sK3 @ X26 @ X25 ) )
| ( $true
!= ( X24 @ X26 ) )
| ( ( X24 @ X25 )
= $true ) )
& ! [X27: a] :
( ( ( sK3 @ sK1 @ X27 )
!= $true )
| ( ( X24 @ X27 )
= $true ) )
& ( ( X24 @ X19 )
!= $true ) ) )
| ( ( X8 @ X19 )
= $true ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X4: a > $o] :
( ? [X5: a] :
( ( ( X4 @ X5 )
!= $true )
& ( ( $true
= ( sK2 @ sK1 @ X5 ) )
| ( $true
= ( sK3 @ sK1 @ X5 ) ) ) )
=> ( ( ( X4 @ ( sK4 @ X4 ) )
!= $true )
& ( ( $true
= ( sK2 @ sK1 @ ( sK4 @ X4 ) ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X4 ) )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X4: a > $o] :
( ? [X7: a,X6: a] :
( ( ( X4 @ X6 )
!= $true )
& ( ( X4 @ X7 )
= $true )
& ( ( $true
= ( sK2 @ X7 @ X6 ) )
| ( $true
= ( sK3 @ X7 @ X6 ) ) ) )
=> ( ( $true
!= ( X4 @ ( sK5 @ X4 ) ) )
& ( ( X4 @ ( sK6 @ X4 ) )
= $true )
& ( ( ( sK2 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) )
= $true )
| ( $true
= ( sK3 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X8: a > $o] :
( ( $true
!= ( X8 @ sK0 ) )
& ! [X10: a,X9: a] :
( ( ( X8 @ X9 )
= $true )
| ( ? [X11: a > $o] :
( ! [X12: a] :
( ( ( X11 @ X12 )
= $true )
| ( $true
!= ( sK2 @ X10 @ X12 ) ) )
& ! [X14: a,X13: a] :
( ( $true
!= ( X11 @ X14 ) )
| ( $true
!= ( sK2 @ X14 @ X13 ) )
| ( $true
= ( X11 @ X13 ) ) )
& ( ( X11 @ X9 )
!= $true ) )
& ? [X15: a > $o] :
( ! [X16: a] :
( ( $true
= ( X15 @ X16 ) )
| ( $true
!= ( sK3 @ X10 @ X16 ) ) )
& ( ( X15 @ X9 )
!= $true )
& ! [X18: a,X17: a] :
( ( $true
!= ( X15 @ X17 ) )
| ( $true
!= ( sK3 @ X17 @ X18 ) )
| ( ( X15 @ X18 )
= $true ) ) ) )
| ( ( X8 @ X10 )
!= $true ) )
& ! [X19: a] :
( ( ? [X20: a > $o] :
( ! [X21: a] :
( ( $true
= ( X20 @ X21 ) )
| ( ( sK2 @ sK1 @ X21 )
!= $true ) )
& ( $true
!= ( X20 @ X19 ) )
& ! [X23: a,X22: a] :
( ( $true
!= ( X20 @ X23 ) )
| ( $true
!= ( sK2 @ X23 @ X22 ) )
| ( $true
= ( X20 @ X22 ) ) ) )
& ? [X24: a > $o] :
( ! [X26: a,X25: a] :
( ( $true
!= ( sK3 @ X26 @ X25 ) )
| ( $true
!= ( X24 @ X26 ) )
| ( ( X24 @ X25 )
= $true ) )
& ! [X27: a] :
( ( ( sK3 @ sK1 @ X27 )
!= $true )
| ( ( X24 @ X27 )
= $true ) )
& ( ( X24 @ X19 )
!= $true ) ) )
| ( ( X8 @ X19 )
= $true ) ) )
=> ( ( $true
!= ( sK7 @ sK0 ) )
& ! [X10: a,X9: a] :
( ( ( sK7 @ X9 )
= $true )
| ( ? [X11: a > $o] :
( ! [X12: a] :
( ( ( X11 @ X12 )
= $true )
| ( $true
!= ( sK2 @ X10 @ X12 ) ) )
& ! [X14: a,X13: a] :
( ( $true
!= ( X11 @ X14 ) )
| ( $true
!= ( sK2 @ X14 @ X13 ) )
| ( $true
= ( X11 @ X13 ) ) )
& ( ( X11 @ X9 )
!= $true ) )
& ? [X15: a > $o] :
( ! [X16: a] :
( ( $true
= ( X15 @ X16 ) )
| ( $true
!= ( sK3 @ X10 @ X16 ) ) )
& ( ( X15 @ X9 )
!= $true )
& ! [X18: a,X17: a] :
( ( $true
!= ( X15 @ X17 ) )
| ( $true
!= ( sK3 @ X17 @ X18 ) )
| ( ( X15 @ X18 )
= $true ) ) ) )
| ( $true
!= ( sK7 @ X10 ) ) )
& ! [X19: a] :
( ( ? [X20: a > $o] :
( ! [X21: a] :
( ( $true
= ( X20 @ X21 ) )
| ( ( sK2 @ sK1 @ X21 )
!= $true ) )
& ( $true
!= ( X20 @ X19 ) )
& ! [X23: a,X22: a] :
( ( $true
!= ( X20 @ X23 ) )
| ( $true
!= ( sK2 @ X23 @ X22 ) )
| ( $true
= ( X20 @ X22 ) ) ) )
& ? [X24: a > $o] :
( ! [X26: a,X25: a] :
( ( $true
!= ( sK3 @ X26 @ X25 ) )
| ( $true
!= ( X24 @ X26 ) )
| ( ( X24 @ X25 )
= $true ) )
& ! [X27: a] :
( ( ( sK3 @ sK1 @ X27 )
!= $true )
| ( ( X24 @ X27 )
= $true ) )
& ( ( X24 @ X19 )
!= $true ) ) )
| ( ( sK7 @ X19 )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X9: a,X10: a] :
( ? [X11: a > $o] :
( ! [X12: a] :
( ( ( X11 @ X12 )
= $true )
| ( $true
!= ( sK2 @ X10 @ X12 ) ) )
& ! [X14: a,X13: a] :
( ( $true
!= ( X11 @ X14 ) )
| ( $true
!= ( sK2 @ X14 @ X13 ) )
| ( $true
= ( X11 @ X13 ) ) )
& ( ( X11 @ X9 )
!= $true ) )
=> ( ! [X12: a] :
( ( $true
= ( sK8 @ X10 @ X9 @ X12 ) )
| ( $true
!= ( sK2 @ X10 @ X12 ) ) )
& ! [X14: a,X13: a] :
( ( ( sK8 @ X10 @ X9 @ X14 )
!= $true )
| ( $true
!= ( sK2 @ X14 @ X13 ) )
| ( $true
= ( sK8 @ X10 @ X9 @ X13 ) ) )
& ( $true
!= ( sK8 @ X10 @ X9 @ X9 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
! [X9: a,X10: a] :
( ? [X15: a > $o] :
( ! [X16: a] :
( ( $true
= ( X15 @ X16 ) )
| ( $true
!= ( sK3 @ X10 @ X16 ) ) )
& ( ( X15 @ X9 )
!= $true )
& ! [X18: a,X17: a] :
( ( $true
!= ( X15 @ X17 ) )
| ( $true
!= ( sK3 @ X17 @ X18 ) )
| ( ( X15 @ X18 )
= $true ) ) )
=> ( ! [X16: a] :
( ( ( sK9 @ X10 @ X9 @ X16 )
= $true )
| ( $true
!= ( sK3 @ X10 @ X16 ) ) )
& ( ( sK9 @ X10 @ X9 @ X9 )
!= $true )
& ! [X18: a,X17: a] :
( ( ( sK9 @ X10 @ X9 @ X17 )
!= $true )
| ( $true
!= ( sK3 @ X17 @ X18 ) )
| ( ( sK9 @ X10 @ X9 @ X18 )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
! [X19: a] :
( ? [X20: a > $o] :
( ! [X21: a] :
( ( $true
= ( X20 @ X21 ) )
| ( ( sK2 @ sK1 @ X21 )
!= $true ) )
& ( $true
!= ( X20 @ X19 ) )
& ! [X23: a,X22: a] :
( ( $true
!= ( X20 @ X23 ) )
| ( $true
!= ( sK2 @ X23 @ X22 ) )
| ( $true
= ( X20 @ X22 ) ) ) )
=> ( ! [X21: a] :
( ( $true
= ( sK10 @ X19 @ X21 ) )
| ( ( sK2 @ sK1 @ X21 )
!= $true ) )
& ( ( sK10 @ X19 @ X19 )
!= $true )
& ! [X23: a,X22: a] :
( ( ( sK10 @ X19 @ X23 )
!= $true )
| ( $true
!= ( sK2 @ X23 @ X22 ) )
| ( $true
= ( sK10 @ X19 @ X22 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
! [X19: a] :
( ? [X24: a > $o] :
( ! [X26: a,X25: a] :
( ( $true
!= ( sK3 @ X26 @ X25 ) )
| ( $true
!= ( X24 @ X26 ) )
| ( ( X24 @ X25 )
= $true ) )
& ! [X27: a] :
( ( ( sK3 @ sK1 @ X27 )
!= $true )
| ( ( X24 @ X27 )
= $true ) )
& ( ( X24 @ X19 )
!= $true ) )
=> ( ! [X26: a,X25: a] :
( ( $true
!= ( sK3 @ X26 @ X25 ) )
| ( ( sK11 @ X19 @ X26 )
!= $true )
| ( $true
= ( sK11 @ X19 @ X25 ) ) )
& ! [X27: a] :
( ( ( sK3 @ sK1 @ X27 )
!= $true )
| ( ( sK11 @ X19 @ X27 )
= $true ) )
& ( ( sK11 @ X19 @ X19 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a,X1: a,X2: a > a > $o,X3: a > a > $o] :
( ! [X4: a > $o] :
( ? [X5: a] :
( ( ( X4 @ X5 )
!= $true )
& ( ( ( X2 @ X1 @ X5 )
= $true )
| ( $true
= ( X3 @ X1 @ X5 ) ) ) )
| ( $true
= ( X4 @ X0 ) )
| ? [X6: a,X7: a] :
( ( ( X4 @ X6 )
!= $true )
& ( ( X4 @ X7 )
= $true )
& ( ( ( X2 @ X7 @ X6 )
= $true )
| ( ( X3 @ X7 @ X6 )
= $true ) ) ) )
& ? [X8: a > $o] :
( ( $true
!= ( X8 @ X0 ) )
& ! [X9: a,X10: a] :
( ( ( X8 @ X9 )
= $true )
| ( ? [X11: a > $o] :
( ! [X12: a] :
( ( ( X11 @ X12 )
= $true )
| ( $true
!= ( X2 @ X10 @ X12 ) ) )
& ! [X13: a,X14: a] :
( ( $true
!= ( X11 @ X14 ) )
| ( $true
!= ( X2 @ X14 @ X13 ) )
| ( $true
= ( X11 @ X13 ) ) )
& ( ( X11 @ X9 )
!= $true ) )
& ? [X15: a > $o] :
( ! [X16: a] :
( ( $true
= ( X15 @ X16 ) )
| ( ( X3 @ X10 @ X16 )
!= $true ) )
& ( ( X15 @ X9 )
!= $true )
& ! [X17: a,X18: a] :
( ( $true
!= ( X15 @ X17 ) )
| ( $true
!= ( X3 @ X17 @ X18 ) )
| ( ( X15 @ X18 )
= $true ) ) ) )
| ( ( X8 @ X10 )
!= $true ) )
& ! [X19: a] :
( ( ? [X20: a > $o] :
( ! [X21: a] :
( ( $true
= ( X20 @ X21 ) )
| ( $true
!= ( X2 @ X1 @ X21 ) ) )
& ( $true
!= ( X20 @ X19 ) )
& ! [X22: a,X23: a] :
( ( $true
!= ( X20 @ X23 ) )
| ( ( X2 @ X23 @ X22 )
!= $true )
| ( $true
= ( X20 @ X22 ) ) ) )
& ? [X24: a > $o] :
( ! [X25: a,X26: a] :
( ( ( X3 @ X26 @ X25 )
!= $true )
| ( $true
!= ( X24 @ X26 ) )
| ( ( X24 @ X25 )
= $true ) )
& ! [X27: a] :
( ( $true
!= ( X3 @ X1 @ X27 ) )
| ( ( X24 @ X27 )
= $true ) )
& ( ( X24 @ X19 )
!= $true ) ) )
| ( ( X8 @ X19 )
= $true ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a,X2: a,X1: a > a > $o,X3: a > a > $o] :
( ! [X4: a > $o] :
( ? [X5: a] :
( ( ( X4 @ X5 )
!= $true )
& ( ( ( X1 @ X2 @ X5 )
= $true )
| ( $true
= ( X3 @ X2 @ X5 ) ) ) )
| ( $true
= ( X4 @ X0 ) )
| ? [X7: a,X6: a] :
( ( ( X4 @ X7 )
!= $true )
& ( ( X4 @ X6 )
= $true )
& ( ( ( X1 @ X6 @ X7 )
= $true )
| ( ( X3 @ X6 @ X7 )
= $true ) ) ) )
& ? [X8: a > $o] :
( ( $true
!= ( X8 @ X0 ) )
& ! [X10: a,X9: a] :
( ( ( X8 @ X10 )
= $true )
| ( ? [X15: a > $o] :
( ! [X18: a] :
( ( ( X15 @ X18 )
= $true )
| ( $true
!= ( X1 @ X9 @ X18 ) ) )
& ! [X17: a,X16: a] :
( ( $true
!= ( X15 @ X16 ) )
| ( ( X1 @ X16 @ X17 )
!= $true )
| ( $true
= ( X15 @ X17 ) ) )
& ( ( X15 @ X10 )
!= $true ) )
& ? [X11: a > $o] :
( ! [X12: a] :
( ( ( X11 @ X12 )
= $true )
| ( $true
!= ( X3 @ X9 @ X12 ) ) )
& ( $true
!= ( X11 @ X10 ) )
& ! [X13: a,X14: a] :
( ( $true
!= ( X11 @ X13 ) )
| ( $true
!= ( X3 @ X13 @ X14 ) )
| ( $true
= ( X11 @ X14 ) ) ) ) )
| ( ( X8 @ X9 )
!= $true ) )
& ! [X19: a] :
( ( ? [X20: a > $o] :
( ! [X23: a] :
( ( $true
= ( X20 @ X23 ) )
| ( $true
!= ( X1 @ X2 @ X23 ) ) )
& ( $true
!= ( X20 @ X19 ) )
& ! [X21: a,X22: a] :
( ( $true
!= ( X20 @ X22 ) )
| ( ( X1 @ X22 @ X21 )
!= $true )
| ( $true
= ( X20 @ X21 ) ) ) )
& ? [X24: a > $o] :
( ! [X25: a,X26: a] :
( ( ( X3 @ X26 @ X25 )
!= $true )
| ( $true
!= ( X24 @ X26 ) )
| ( ( X24 @ X25 )
= $true ) )
& ! [X27: a] :
( ( $true
!= ( X3 @ X2 @ X27 ) )
| ( ( X24 @ X27 )
= $true ) )
& ( ( X24 @ X19 )
!= $true ) ) )
| ( ( X8 @ X19 )
= $true ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X3: a > a > $o,X0: a,X1: a > a > $o,X2: a] :
( ? [X8: a > $o] :
( ( $true
!= ( X8 @ X0 ) )
& ! [X10: a,X9: a] :
( ( ( X8 @ X10 )
= $true )
| ( ( X8 @ X9 )
!= $true )
| ( ? [X11: a > $o] :
( ( $true
!= ( X11 @ X10 ) )
& ! [X14: a,X13: a] :
( ( $true
= ( X11 @ X14 ) )
| ( $true
!= ( X11 @ X13 ) )
| ( $true
!= ( X3 @ X13 @ X14 ) ) )
& ! [X12: a] :
( ( ( X11 @ X12 )
= $true )
| ( $true
!= ( X3 @ X9 @ X12 ) ) ) )
& ? [X15: a > $o] :
( ( ( X15 @ X10 )
!= $true )
& ! [X17: a,X16: a] :
( ( $true
= ( X15 @ X17 ) )
| ( ( X1 @ X16 @ X17 )
!= $true )
| ( $true
!= ( X15 @ X16 ) ) )
& ! [X18: a] :
( ( ( X15 @ X18 )
= $true )
| ( $true
!= ( X1 @ X9 @ X18 ) ) ) ) ) )
& ! [X19: a] :
( ( ( X8 @ X19 )
= $true )
| ( ? [X20: a > $o] :
( ( $true
!= ( X20 @ X19 ) )
& ! [X23: a] :
( ( $true
= ( X20 @ X23 ) )
| ( $true
!= ( X1 @ X2 @ X23 ) ) )
& ! [X21: a,X22: a] :
( ( $true
= ( X20 @ X21 ) )
| ( ( X1 @ X22 @ X21 )
!= $true )
| ( $true
!= ( X20 @ X22 ) ) ) )
& ? [X24: a > $o] :
( ( ( X24 @ X19 )
!= $true )
& ! [X27: a] :
( ( $true
!= ( X3 @ X2 @ X27 ) )
| ( ( X24 @ X27 )
= $true ) )
& ! [X26: a,X25: a] :
( ( ( X24 @ X25 )
= $true )
| ( $true
!= ( X24 @ X26 ) )
| ( ( X3 @ X26 @ X25 )
!= $true ) ) ) ) ) )
& ! [X4: a > $o] :
( ( $true
= ( X4 @ X0 ) )
| ? [X6: a,X7: a] :
( ( ( X4 @ X7 )
!= $true )
& ( ( X4 @ X6 )
= $true )
& ( ( ( X1 @ X6 @ X7 )
= $true )
| ( ( X3 @ X6 @ X7 )
= $true ) ) )
| ? [X5: a] :
( ( ( X4 @ X5 )
!= $true )
& ( ( ( X1 @ X2 @ X5 )
= $true )
| ( $true
= ( X3 @ X2 @ X5 ) ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X3: a > a > $o,X0: a,X1: a > a > $o,X2: a] :
( ! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( ( X4 @ X6 )
= $true )
& ( ( ( X1 @ X6 @ X7 )
= $true )
| ( ( X3 @ X6 @ X7 )
= $true ) ) )
=> ( ( X4 @ X7 )
= $true ) )
& ! [X5: a] :
( ( ( ( X1 @ X2 @ X5 )
= $true )
| ( $true
= ( X3 @ X2 @ X5 ) ) )
=> ( ( X4 @ X5 )
= $true ) ) )
=> ( $true
= ( X4 @ X0 ) ) )
=> ! [X8: a > $o] :
( ( ! [X10: a,X9: a] :
( ( ( ( X8 @ X9 )
= $true )
& ( ! [X11: a > $o] :
( ( ! [X14: a,X13: a] :
( ( ( $true
= ( X11 @ X13 ) )
& ( $true
= ( X3 @ X13 @ X14 ) ) )
=> ( $true
= ( X11 @ X14 ) ) )
& ! [X12: a] :
( ( $true
= ( X3 @ X9 @ X12 ) )
=> ( ( X11 @ X12 )
= $true ) ) )
=> ( $true
= ( X11 @ X10 ) ) )
| ! [X15: a > $o] :
( ( ! [X17: a,X16: a] :
( ( ( ( X1 @ X16 @ X17 )
= $true )
& ( $true
= ( X15 @ X16 ) ) )
=> ( $true
= ( X15 @ X17 ) ) )
& ! [X18: a] :
( ( $true
= ( X1 @ X9 @ X18 ) )
=> ( ( X15 @ X18 )
= $true ) ) )
=> ( ( X15 @ X10 )
= $true ) ) ) )
=> ( ( X8 @ X10 )
= $true ) )
& ! [X19: a] :
( ( ! [X20: a > $o] :
( ( ! [X23: a] :
( ( $true
= ( X1 @ X2 @ X23 ) )
=> ( $true
= ( X20 @ X23 ) ) )
& ! [X21: a,X22: a] :
( ( ( ( X1 @ X22 @ X21 )
= $true )
& ( $true
= ( X20 @ X22 ) ) )
=> ( $true
= ( X20 @ X21 ) ) ) )
=> ( $true
= ( X20 @ X19 ) ) )
| ! [X24: a > $o] :
( ( ! [X27: a] :
( ( $true
= ( X3 @ X2 @ X27 ) )
=> ( ( X24 @ X27 )
= $true ) )
& ! [X26: a,X25: a] :
( ( ( $true
= ( X24 @ X26 ) )
& ( ( X3 @ X26 @ X25 )
= $true ) )
=> ( ( X24 @ X25 )
= $true ) ) )
=> ( ( X24 @ X19 )
= $true ) ) )
=> ( ( X8 @ X19 )
= $true ) ) )
=> ( $true
= ( X8 @ X0 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a > a > $o,X2: a,X3: a > a > $o] :
( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X1 @ X2 @ X5 )
| ( X3 @ X2 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( ( X1 @ X6 @ X7 )
| ( X3 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X0 ) )
=> ! [X8: a > $o] :
( ( ! [X9: a,X10: a] :
( ( ( X8 @ X9 )
& ( ! [X11: a > $o] :
( ( ! [X12: a] :
( ( X3 @ X9 @ X12 )
=> ( X11 @ X12 ) )
& ! [X13: a,X14: a] :
( ( ( X11 @ X13 )
& ( X3 @ X13 @ X14 ) )
=> ( X11 @ X14 ) ) )
=> ( X11 @ X10 ) )
| ! [X15: a > $o] :
( ( ! [X16: a,X17: a] :
( ( ( X1 @ X16 @ X17 )
& ( X15 @ X16 ) )
=> ( X15 @ X17 ) )
& ! [X18: a] :
( ( X1 @ X9 @ X18 )
=> ( X15 @ X18 ) ) )
=> ( X15 @ X10 ) ) ) )
=> ( X8 @ X10 ) )
& ! [X19: a] :
( ( ! [X20: a > $o] :
( ( ! [X21: a,X22: a] :
( ( ( X20 @ X22 )
& ( X1 @ X22 @ X21 ) )
=> ( X20 @ X21 ) )
& ! [X23: a] :
( ( X1 @ X2 @ X23 )
=> ( X20 @ X23 ) ) )
=> ( X20 @ X19 ) )
| ! [X24: a > $o] :
( ( ! [X25: a,X26: a] :
( ( ( X24 @ X26 )
& ( X3 @ X26 @ X25 ) )
=> ( X24 @ X25 ) )
& ! [X27: a] :
( ( X3 @ X2 @ X27 )
=> ( X24 @ X27 ) ) )
=> ( X24 @ X19 ) ) )
=> ( X8 @ X19 ) ) )
=> ( X8 @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X3: a,X0: a > a > $o,X2: a,X1: a > a > $o] :
( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( ( X0 @ X6 @ X7 )
| ( X1 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) )
=> ! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ! [X8: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X6 @ X5 )
=> ( X8 @ X5 ) )
& ! [X10: a,X11: a] :
( ( ( X8 @ X10 )
& ( X1 @ X10 @ X11 ) )
=> ( X8 @ X11 ) ) )
=> ( X8 @ X7 ) )
| ! [X8: a > $o] :
( ( ! [X10: a,X11: a] :
( ( ( X0 @ X10 @ X11 )
& ( X8 @ X10 ) )
=> ( X8 @ X11 ) )
& ! [X5: a] :
( ( X0 @ X6 @ X5 )
=> ( X8 @ X5 ) ) )
=> ( X8 @ X7 ) ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( ! [X8: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X8 @ X6 )
& ( X0 @ X6 @ X7 ) )
=> ( X8 @ X7 ) )
& ! [X9: a] :
( ( X0 @ X2 @ X9 )
=> ( X8 @ X9 ) ) )
=> ( X8 @ X5 ) )
| ! [X8: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X8 @ X6 )
& ( X1 @ X6 @ X7 ) )
=> ( X8 @ X7 ) )
& ! [X9: a] :
( ( X1 @ X2 @ X9 )
=> ( X8 @ X9 ) ) )
=> ( X8 @ X5 ) ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X3: a,X0: a > a > $o,X2: a,X1: a > a > $o] :
( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( ( X0 @ X6 @ X7 )
| ( X1 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) )
=> ! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ! [X8: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X6 @ X5 )
=> ( X8 @ X5 ) )
& ! [X10: a,X11: a] :
( ( ( X8 @ X10 )
& ( X1 @ X10 @ X11 ) )
=> ( X8 @ X11 ) ) )
=> ( X8 @ X7 ) )
| ! [X8: a > $o] :
( ( ! [X10: a,X11: a] :
( ( ( X0 @ X10 @ X11 )
& ( X8 @ X10 ) )
=> ( X8 @ X11 ) )
& ! [X5: a] :
( ( X0 @ X6 @ X5 )
=> ( X8 @ X5 ) ) )
=> ( X8 @ X7 ) ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( ! [X8: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X8 @ X6 )
& ( X0 @ X6 @ X7 ) )
=> ( X8 @ X7 ) )
& ! [X9: a] :
( ( X0 @ X2 @ X9 )
=> ( X8 @ X9 ) ) )
=> ( X8 @ X5 ) )
| ! [X8: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X8 @ X6 )
& ( X1 @ X6 @ X7 ) )
=> ( X8 @ X7 ) )
& ! [X9: a] :
( ( X1 @ X2 @ X9 )
=> ( X8 @ X9 ) ) )
=> ( X8 @ X5 ) ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM251B_pme) ).
thf(f1195,plain,
( ( $true
= ( sK7 @ sK0 ) )
| ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) )
| ~ spl12_14
| spl12_55
| ~ spl12_57 ),
inference(subsumption_resolution,[],[f1194,f827]) ).
thf(f827,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) )
| spl12_55 ),
inference(avatar_component_clause,[],[f825]) ).
thf(f825,plain,
( spl12_55
<=> ( $true
= ( sK7 @ ( sK4 @ sK7 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).
thf(f1194,plain,
( ( $true
= ( sK7 @ ( sK4 @ sK7 ) ) )
| ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) )
| ( $true
= ( sK7 @ sK0 ) )
| ~ spl12_14
| spl12_55
| ~ spl12_57 ),
inference(trivial_inequality_removal,[],[f1182]) ).
thf(f1182,plain,
( ( $true
= ( sK7 @ sK0 ) )
| ( $true != $true )
| ( $true
= ( sK7 @ ( sK4 @ sK7 ) ) )
| ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) )
| ~ spl12_14
| spl12_55
| ~ spl12_57 ),
inference(superposition,[],[f879,f969]) ).
thf(f969,plain,
( ! [X0: a > $o] :
( ( $true
= ( sK7 @ ( sK5 @ X0 ) ) )
| ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) ) )
| ~ spl12_57 ),
inference(avatar_component_clause,[],[f968]) ).
thf(f968,plain,
( spl12_57
<=> ! [X0: a > $o] :
( ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( sK7 @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_57])]) ).
thf(f879,plain,
( ( ( sK7 @ ( sK5 @ sK7 ) )
!= $true )
| ~ spl12_14
| spl12_55 ),
inference(subsumption_resolution,[],[f878,f30]) ).
thf(f878,plain,
( ( ( sK7 @ ( sK5 @ sK7 ) )
!= $true )
| ( $true
= ( sK7 @ sK0 ) )
| ~ spl12_14
| spl12_55 ),
inference(trivial_inequality_removal,[],[f875]) ).
thf(f875,plain,
( ( $true != $true )
| ( $true
= ( sK7 @ sK0 ) )
| ( ( sK7 @ ( sK5 @ sK7 ) )
!= $true )
| ~ spl12_14
| spl12_55 ),
inference(superposition,[],[f827,f197]) ).
thf(f197,plain,
( ! [X0: a > $o] :
( ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
!= ( X0 @ ( sK5 @ X0 ) ) ) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f196]) ).
thf(f196,plain,
( spl12_14
<=> ! [X0: a > $o] :
( ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
thf(f972,plain,
spl12_57,
inference(avatar_split_clause,[],[f971,f968]) ).
thf(f971,plain,
! [X0: a > $o] :
( ( $true
= ( sK7 @ ( sK5 @ X0 ) ) )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) )
| ( ( sK7 @ ( sK6 @ X0 ) )
!= $true ) ),
inference(subsumption_resolution,[],[f961,f39]) ).
thf(f39,plain,
! [X0: a] :
( ( $true
!= ( sK3 @ sK1 @ X0 ) )
| ( $true
= ( sK7 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f38]) ).
thf(f38,plain,
! [X0: a] :
( ( $true
!= ( sK3 @ sK1 @ X0 ) )
| ( $true
= ( sK7 @ X0 ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f37]) ).
thf(f37,plain,
! [X0: a] :
( ( $true
= ( sK7 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( sK3 @ sK1 @ X0 ) )
| ( $true
= ( sK7 @ X0 ) ) ),
inference(superposition,[],[f18,f19]) ).
thf(f19,plain,
! [X19: a,X27: a] :
( ( ( sK11 @ X19 @ X27 )
= $true )
| ( ( sK7 @ X19 )
= $true )
| ( ( sK3 @ sK1 @ X27 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f18,plain,
! [X19: a] :
( ( ( sK11 @ X19 @ X19 )
!= $true )
| ( ( sK7 @ X19 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f961,plain,
! [X0: a > $o] :
( ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( $true
= ( sK7 @ ( sK5 @ X0 ) ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f950]) ).
thf(f950,plain,
! [X0: a > $o] :
( ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK5 @ X0 ) ) ) ),
inference(superposition,[],[f42,f233]) ).
thf(f233,plain,
! [X0: a > $o] :
( ( $true
= ( sK2 @ sK1 @ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true )
| ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( sK7 @ ( sK5 @ X0 ) ) ) ),
inference(subsumption_resolution,[],[f232,f141]) ).
thf(f141,plain,
! [X0: a,X1: a] :
( ( ( sK2 @ X0 @ X1 )
!= $true )
| ( $true
= ( sK7 @ X1 ) )
| ( $true
!= ( sK7 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f140]) ).
thf(f140,plain,
! [X0: a,X1: a] :
( ( $true != $true )
| ( $true
!= ( sK7 @ X0 ) )
| ( ( sK2 @ X0 @ X1 )
!= $true )
| ( $true
= ( sK7 @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f137]) ).
thf(f137,plain,
! [X0: a,X1: a] :
( ( $true
= ( sK7 @ X1 ) )
| ( ( sK2 @ X0 @ X1 )
!= $true )
| ( $true
!= ( sK7 @ X0 ) )
| ( $true
= ( sK7 @ X1 ) )
| ( $true
!= ( sK7 @ X0 ) )
| ( $true != $true ) ),
inference(superposition,[],[f27,f29]) ).
thf(f29,plain,
! [X10: a,X9: a,X12: a] :
( ( $true
= ( sK8 @ X10 @ X9 @ X12 ) )
| ( $true
!= ( sK2 @ X10 @ X12 ) )
| ( $true
!= ( sK7 @ X10 ) )
| ( ( sK7 @ X9 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f27,plain,
! [X10: a,X9: a] :
( ( $true
!= ( sK8 @ X10 @ X9 @ X9 ) )
| ( ( sK7 @ X9 )
= $true )
| ( $true
!= ( sK7 @ X10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f232,plain,
! [X0: a > $o] :
( ( $true
= ( sK2 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true )
| ( $true
= ( sK2 @ sK1 @ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) )
| ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( sK7 @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f231]) ).
thf(f231,plain,
! [X0: a > $o] :
( ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
= ( sK2 @ sK1 @ ( sK4 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( sK7 @ ( sK5 @ X0 ) ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true )
| ( $true
= ( sK2 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) ) ),
inference(superposition,[],[f134,f31]) ).
thf(f31,plain,
! [X4: a > $o] :
( ( $true
= ( sK3 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) ) )
| ( ( sK2 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) )
= $true )
| ( ( sK3 @ sK1 @ ( sK4 @ X4 ) )
= $true )
| ( $true
= ( X4 @ sK0 ) )
| ( $true
= ( sK2 @ sK1 @ ( sK4 @ X4 ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f134,plain,
! [X0: a,X1: a] :
( ( $true
!= ( sK3 @ X0 @ X1 ) )
| ( $true
!= ( sK7 @ X0 ) )
| ( $true
= ( sK7 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f133]) ).
thf(f133,plain,
! [X0: a,X1: a] :
( ( $true
!= ( sK7 @ X0 ) )
| ( $true
!= ( sK3 @ X0 @ X1 ) )
| ( $true != $true )
| ( $true
= ( sK7 @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f130]) ).
thf(f130,plain,
! [X0: a,X1: a] :
( ( $true
!= ( sK7 @ X0 ) )
| ( $true
!= ( sK7 @ X0 ) )
| ( $true
!= ( sK3 @ X0 @ X1 ) )
| ( $true
= ( sK7 @ X1 ) )
| ( $true != $true )
| ( $true
= ( sK7 @ X1 ) ) ),
inference(superposition,[],[f25,f26]) ).
thf(f26,plain,
! [X10: a,X9: a,X16: a] :
( ( ( sK9 @ X10 @ X9 @ X16 )
= $true )
| ( $true
!= ( sK3 @ X10 @ X16 ) )
| ( $true
!= ( sK7 @ X10 ) )
| ( ( sK7 @ X9 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f25,plain,
! [X10: a,X9: a] :
( ( ( sK9 @ X10 @ X9 @ X9 )
!= $true )
| ( $true
!= ( sK7 @ X10 ) )
| ( ( sK7 @ X9 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f42,plain,
! [X0: a] :
( ( ( sK2 @ sK1 @ X0 )
!= $true )
| ( $true
= ( sK7 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f41,plain,
! [X0: a] :
( ( ( sK2 @ sK1 @ X0 )
!= $true )
| ( $true
= ( sK7 @ X0 ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f40]) ).
thf(f40,plain,
! [X0: a] :
( ( $true
= ( sK7 @ X0 ) )
| ( ( sK2 @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( sK7 @ X0 ) ) ),
inference(superposition,[],[f22,f23]) ).
thf(f23,plain,
! [X21: a,X19: a] :
( ( $true
= ( sK10 @ X19 @ X21 ) )
| ( ( sK2 @ sK1 @ X21 )
!= $true )
| ( ( sK7 @ X19 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f22,plain,
! [X19: a] :
( ( ( sK10 @ X19 @ X19 )
!= $true )
| ( ( sK7 @ X19 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f884,plain,
( spl12_54
| ~ spl12_9
| spl12_55 ),
inference(avatar_split_clause,[],[f883,f825,f159,f821]) ).
thf(f159,plain,
( spl12_9
<=> ! [X0: a > $o] :
( ( ( X0 @ ( sK6 @ X0 ) )
= $true )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
thf(f883,plain,
( ( $true
= ( sK7 @ ( sK6 @ sK7 ) ) )
| ~ spl12_9
| spl12_55 ),
inference(subsumption_resolution,[],[f877,f30]) ).
thf(f877,plain,
( ( $true
= ( sK7 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK6 @ sK7 ) ) )
| ~ spl12_9
| spl12_55 ),
inference(trivial_inequality_removal,[],[f876]) ).
thf(f876,plain,
( ( $true
= ( sK7 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK6 @ sK7 ) ) )
| ( $true != $true )
| ~ spl12_9
| spl12_55 ),
inference(superposition,[],[f827,f160]) ).
thf(f160,plain,
( ! [X0: a > $o] :
( ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) )
| ( ( X0 @ ( sK6 @ X0 ) )
= $true ) )
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f159]) ).
thf(f859,plain,
( ~ spl12_55
| spl12_54 ),
inference(avatar_split_clause,[],[f858,f821,f825]) ).
thf(f858,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) )
| spl12_54 ),
inference(subsumption_resolution,[],[f854,f30]) ).
thf(f854,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) )
| ( $true
= ( sK7 @ sK0 ) )
| spl12_54 ),
inference(trivial_inequality_removal,[],[f853]) ).
thf(f853,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) )
| ( $true != $true )
| ( $true
= ( sK7 @ sK0 ) )
| spl12_54 ),
inference(superposition,[],[f823,f35]) ).
thf(f35,plain,
! [X4: a > $o] :
( ( ( X4 @ ( sK6 @ X4 ) )
= $true )
| ( ( X4 @ ( sK4 @ X4 ) )
!= $true )
| ( $true
= ( X4 @ sK0 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f823,plain,
( ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) )
| spl12_54 ),
inference(avatar_component_clause,[],[f821]) ).
thf(f836,plain,
( ~ spl12_55
| ~ spl12_54 ),
inference(avatar_split_clause,[],[f835,f821,f825]) ).
thf(f835,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) )
| ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) ) ),
inference(subsumption_resolution,[],[f814,f30]) ).
thf(f814,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) )
| ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) )
| ( $true
= ( sK7 @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f813]) ).
thf(f813,plain,
( ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) )
| ( $true != $true )
| ( $true
= ( sK7 @ sK0 ) )
| ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) ) ),
inference(duplicate_literal_removal,[],[f806]) ).
thf(f806,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) )
| ( $true != $true )
| ( $true
= ( sK7 @ sK0 ) )
| ( $true
= ( sK7 @ sK0 ) )
| ( $true
!= ( sK7 @ ( sK6 @ sK7 ) ) )
| ( $true
!= ( sK7 @ ( sK4 @ sK7 ) ) ) ),
inference(superposition,[],[f36,f230]) ).
thf(f230,plain,
! [X0: a > $o] :
( ( $true
= ( sK7 @ ( sK5 @ X0 ) ) )
| ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
!= ( X0 @ ( sK4 @ X0 ) ) ) ),
inference(subsumption_resolution,[],[f229,f141]) ).
thf(f229,plain,
! [X0: a > $o] :
( ( $true
!= ( X0 @ ( sK4 @ X0 ) ) )
| ( $true
= ( sK7 @ ( sK5 @ X0 ) ) )
| ( $true
= ( sK2 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) )
| ( ( sK7 @ ( sK6 @ X0 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f228]) ).
thf(f228,plain,
! [X0: a > $o] :
( ( ( sK7 @ ( sK6 @ X0 ) )
!= $true )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK5 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK4 @ X0 ) ) )
| ( $true
= ( sK2 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f134,f34]) ).
thf(f34,plain,
! [X4: a > $o] :
( ( $true
= ( sK3 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) ) )
| ( ( X4 @ ( sK4 @ X4 ) )
!= $true )
| ( $true
= ( X4 @ sK0 ) )
| ( ( sK2 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f36,plain,
! [X4: a > $o] :
( ( $true
!= ( X4 @ ( sK5 @ X4 ) ) )
| ( $true
= ( X4 @ sK0 ) )
| ( ( X4 @ ( sK4 @ X4 ) )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f200,plain,
spl12_14,
inference(avatar_split_clause,[],[f199,f196]) ).
thf(f199,plain,
! [X0: a > $o] :
( ( $true
!= ( X0 @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) ) ),
inference(subsumption_resolution,[],[f192,f39]) ).
thf(f192,plain,
! [X0: a > $o] :
( ( $true
!= ( X0 @ ( sK5 @ X0 ) ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true )
| ( $true
= ( X0 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f184]) ).
thf(f184,plain,
! [X0: a > $o] :
( ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( X0 @ sK0 ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true )
| ( $true
!= ( X0 @ ( sK5 @ X0 ) ) ) ),
inference(superposition,[],[f42,f33]) ).
thf(f33,plain,
! [X4: a > $o] :
( ( $true
= ( sK2 @ sK1 @ ( sK4 @ X4 ) ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X4 ) )
= $true )
| ( $true
!= ( X4 @ ( sK5 @ X4 ) ) )
| ( $true
= ( X4 @ sK0 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f167,plain,
spl12_9,
inference(avatar_split_clause,[],[f166,f159]) ).
thf(f166,plain,
! [X0: a > $o] :
( ( $true
= ( X0 @ sK0 ) )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( ( X0 @ ( sK6 @ X0 ) )
= $true ) ),
inference(subsumption_resolution,[],[f155,f39]) ).
thf(f155,plain,
! [X0: a > $o] :
( ( ( X0 @ ( sK6 @ X0 ) )
= $true )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true )
| ( $true
= ( X0 @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f146,plain,
! [X0: a > $o] :
( ( $true != $true )
| ( $true
= ( sK7 @ ( sK4 @ X0 ) ) )
| ( ( X0 @ ( sK6 @ X0 ) )
= $true )
| ( $true
= ( X0 @ sK0 ) )
| ( ( sK3 @ sK1 @ ( sK4 @ X0 ) )
= $true ) ),
inference(superposition,[],[f42,f32]) ).
thf(f32,plain,
! [X4: a > $o] :
( ( $true
= ( sK2 @ sK1 @ ( sK4 @ X4 ) ) )
| ( ( X4 @ ( sK6 @ X4 ) )
= $true )
| ( ( sK3 @ sK1 @ ( sK4 @ X4 ) )
= $true )
| ( $true
= ( X4 @ sK0 ) ) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV149^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 19:25:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (10670)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (10668)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (10663)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (10665)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.38 % (10664)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.38 % (10666)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (10669)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.38 % (10668)Instruction limit reached!
% 0.22/0.38 % (10668)------------------------------
% 0.22/0.38 % (10668)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.38 % (10668)Termination reason: Unknown
% 0.22/0.38 % (10668)Termination phase: Property scanning
% 0.22/0.38
% 0.22/0.38 % (10668)Memory used [KB]: 1023
% 0.22/0.38 % (10668)Time elapsed: 0.004 s
% 0.22/0.38 % (10668)Instructions burned: 2 (million)
% 0.22/0.38 % (10668)------------------------------
% 0.22/0.38 % (10668)------------------------------
% 0.22/0.38 % (10666)Instruction limit reached!
% 0.22/0.38 % (10666)------------------------------
% 0.22/0.38 % (10666)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.38 % (10666)Termination reason: Unknown
% 0.22/0.38 % (10666)Termination phase: Preprocessing 3
% 0.22/0.38
% 0.22/0.38 % (10666)Memory used [KB]: 1023
% 0.22/0.38 % (10666)Time elapsed: 0.004 s
% 0.22/0.38 % (10666)Instructions burned: 3 (million)
% 0.22/0.38 % (10666)------------------------------
% 0.22/0.38 % (10666)------------------------------
% 0.22/0.39 % (10664)Instruction limit reached!
% 0.22/0.39 % (10664)------------------------------
% 0.22/0.39 % (10664)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (10664)Termination reason: Unknown
% 0.22/0.39 % (10664)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (10664)Memory used [KB]: 5500
% 0.22/0.39 % (10664)Time elapsed: 0.005 s
% 0.22/0.39 % (10664)Instructions burned: 4 (million)
% 0.22/0.39 % (10664)------------------------------
% 0.22/0.39 % (10664)------------------------------
% 0.22/0.39 % (10670)Instruction limit reached!
% 0.22/0.39 % (10670)------------------------------
% 0.22/0.39 % (10670)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (10670)Termination reason: Unknown
% 0.22/0.39 % (10670)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (10670)Memory used [KB]: 5628
% 0.22/0.39 % (10670)Time elapsed: 0.015 s
% 0.22/0.39 % (10670)Instructions burned: 19 (million)
% 0.22/0.39 % (10670)------------------------------
% 0.22/0.39 % (10670)------------------------------
% 0.22/0.40 % (10673)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40 % (10674)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.40 % (10676)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.40 % (10673)Instruction limit reached!
% 0.22/0.40 % (10673)------------------------------
% 0.22/0.40 % (10673)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (10665)Instruction limit reached!
% 0.22/0.40 % (10665)------------------------------
% 0.22/0.40 % (10665)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (10665)Termination reason: Unknown
% 0.22/0.40 % (10665)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (10665)Memory used [KB]: 5756
% 0.22/0.40 % (10665)Time elapsed: 0.022 s
% 0.22/0.40 % (10665)Instructions burned: 27 (million)
% 0.22/0.40 % (10665)------------------------------
% 0.22/0.40 % (10665)------------------------------
% 0.22/0.40 % (10673)Termination reason: Unknown
% 0.22/0.40 % (10673)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (10673)Memory used [KB]: 5500
% 0.22/0.40 % (10673)Time elapsed: 0.005 s
% 0.22/0.40 % (10673)Instructions burned: 4 (million)
% 0.22/0.40 % (10673)------------------------------
% 0.22/0.40 % (10673)------------------------------
% 0.22/0.41 % (10681)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (10676)Instruction limit reached!
% 0.22/0.41 % (10676)------------------------------
% 0.22/0.41 % (10676)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (10676)Termination reason: Unknown
% 0.22/0.41 % (10676)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (10676)Memory used [KB]: 5628
% 0.22/0.41 % (10676)Time elapsed: 0.014 s
% 0.22/0.41 % (10676)Instructions burned: 16 (million)
% 0.22/0.41 % (10676)------------------------------
% 0.22/0.41 % (10676)------------------------------
% 0.22/0.41 % (10681)Instruction limit reached!
% 0.22/0.41 % (10681)------------------------------
% 0.22/0.41 % (10681)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (10681)Termination reason: Unknown
% 0.22/0.41 % (10681)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (10681)Memory used [KB]: 5500
% 0.22/0.41 % (10681)Time elapsed: 0.005 s
% 0.22/0.41 % (10681)Instructions burned: 4 (million)
% 0.22/0.41 % (10681)------------------------------
% 0.22/0.41 % (10681)------------------------------
% 0.22/0.42 % (10686)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.42 % (10687)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (10674)Instruction limit reached!
% 0.22/0.42 % (10674)------------------------------
% 0.22/0.42 % (10674)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (10674)Termination reason: Unknown
% 0.22/0.42 % (10674)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10674)Memory used [KB]: 5628
% 0.22/0.42 % (10674)Time elapsed: 0.024 s
% 0.22/0.42 % (10674)Instructions burned: 37 (million)
% 0.22/0.42 % (10674)------------------------------
% 0.22/0.42 % (10674)------------------------------
% 0.22/0.42 % (10687)Instruction limit reached!
% 0.22/0.42 % (10687)------------------------------
% 0.22/0.42 % (10687)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (10687)Termination reason: Unknown
% 0.22/0.42 % (10687)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10687)Memory used [KB]: 1151
% 0.22/0.42 % (10687)Time elapsed: 0.007 s
% 0.22/0.42 % (10687)Instructions burned: 7 (million)
% 0.22/0.42 % (10687)------------------------------
% 0.22/0.42 % (10687)------------------------------
% 0.22/0.43 % (10691)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (10692)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (10692)Instruction limit reached!
% 0.22/0.43 % (10692)------------------------------
% 0.22/0.43 % (10692)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (10692)Termination reason: Unknown
% 0.22/0.43 % (10692)Termination phase: Preprocessing 3
% 0.22/0.43
% 0.22/0.43 % (10692)Memory used [KB]: 1023
% 0.22/0.43 % (10692)Time elapsed: 0.004 s
% 0.22/0.43 % (10692)Instructions burned: 3 (million)
% 0.22/0.43 % (10692)------------------------------
% 0.22/0.43 % (10692)------------------------------
% 0.22/0.44 % (10695)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (10691)Instruction limit reached!
% 0.22/0.44 % (10691)------------------------------
% 0.22/0.44 % (10691)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (10691)Termination reason: Unknown
% 0.22/0.44 % (10691)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (10691)Memory used [KB]: 5756
% 0.22/0.44 % (10691)Time elapsed: 0.013 s
% 0.22/0.44 % (10691)Instructions burned: 17 (million)
% 0.22/0.44 % (10691)------------------------------
% 0.22/0.44 % (10691)------------------------------
% 0.22/0.44 % (10695)Instruction limit reached!
% 0.22/0.44 % (10695)------------------------------
% 0.22/0.44 % (10695)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (10695)Termination reason: Unknown
% 0.22/0.44 % (10695)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (10695)Memory used [KB]: 1023
% 0.22/0.44 % (10695)Time elapsed: 0.005 s
% 0.22/0.44 % (10695)Instructions burned: 4 (million)
% 0.22/0.44 % (10695)------------------------------
% 0.22/0.44 % (10695)------------------------------
% 0.22/0.44 % (10696)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.45 % (10702)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (10696)Instruction limit reached!
% 0.22/0.45 % (10696)------------------------------
% 0.22/0.45 % (10696)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (10696)Termination reason: Unknown
% 0.22/0.45 % (10696)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (10696)Memory used [KB]: 5500
% 0.22/0.45 % (10696)Time elapsed: 0.007 s
% 0.22/0.45 % (10696)Instructions burned: 7 (million)
% 0.22/0.45 % (10696)------------------------------
% 0.22/0.45 % (10696)------------------------------
% 0.22/0.45 % (10702)Instruction limit reached!
% 0.22/0.45 % (10702)------------------------------
% 0.22/0.45 % (10702)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (10702)Termination reason: Unknown
% 0.22/0.45 % (10702)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (10702)Memory used [KB]: 5500
% 0.22/0.45 % (10702)Time elapsed: 0.005 s
% 0.22/0.45 % (10702)Instructions burned: 4 (million)
% 0.22/0.45 % (10702)------------------------------
% 0.22/0.45 % (10702)------------------------------
% 0.22/0.46 % (10708)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.46 % (10709)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.46 % (10708)Instruction limit reached!
% 0.22/0.46 % (10708)------------------------------
% 0.22/0.46 % (10708)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (10708)Termination reason: Unknown
% 0.22/0.46 % (10708)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (10708)Memory used [KB]: 5500
% 0.22/0.46 % (10708)Time elapsed: 0.005 s
% 0.22/0.46 % (10708)Instructions burned: 4 (million)
% 0.22/0.46 % (10708)------------------------------
% 0.22/0.46 % (10708)------------------------------
% 0.22/0.46 % (10717)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (10715)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.47 % (10717)Instruction limit reached!
% 0.22/0.47 % (10717)------------------------------
% 0.22/0.47 % (10717)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (10717)Termination reason: Unknown
% 0.22/0.47 % (10717)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (10717)Memory used [KB]: 5628
% 0.22/0.47 % (10717)Time elapsed: 0.004 s
% 0.22/0.47 % (10717)Instructions burned: 7 (million)
% 0.22/0.47 % (10717)------------------------------
% 0.22/0.47 % (10717)------------------------------
% 0.22/0.47 % (10709)Instruction limit reached!
% 0.22/0.47 % (10709)------------------------------
% 0.22/0.47 % (10709)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (10709)Termination reason: Unknown
% 0.22/0.47 % (10709)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (10709)Memory used [KB]: 5628
% 0.22/0.47 % (10709)Time elapsed: 0.016 s
% 0.22/0.47 % (10709)Instructions burned: 19 (million)
% 0.22/0.47 % (10709)------------------------------
% 0.22/0.47 % (10709)------------------------------
% 0.22/0.47 % (10726)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.48 % (10722)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.48 % (10731)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (10726)Instruction limit reached!
% 0.22/0.48 % (10726)------------------------------
% 0.22/0.48 % (10726)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (10726)Termination reason: Unknown
% 0.22/0.48 % (10726)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (10726)Memory used [KB]: 5756
% 0.22/0.48 % (10726)Time elapsed: 0.012 s
% 0.22/0.49 % (10726)Instructions burned: 23 (million)
% 0.22/0.49 % (10726)------------------------------
% 0.22/0.49 % (10726)------------------------------
% 0.22/0.49 % (10731)Instruction limit reached!
% 0.22/0.49 % (10731)------------------------------
% 0.22/0.49 % (10731)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (10731)Termination reason: Unknown
% 0.22/0.49 % (10731)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (10731)Memory used [KB]: 5500
% 0.22/0.49 % (10731)Time elapsed: 0.003 s
% 0.22/0.49 % (10731)Instructions burned: 5 (million)
% 0.22/0.49 % (10731)------------------------------
% 0.22/0.49 % (10731)------------------------------
% 0.22/0.49 % (10663)Instruction limit reached!
% 0.22/0.49 % (10663)------------------------------
% 0.22/0.49 % (10663)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (10663)Termination reason: Unknown
% 0.22/0.49 % (10663)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (10663)Memory used [KB]: 6396
% 0.22/0.49 % (10663)Time elapsed: 0.108 s
% 0.22/0.49 % (10663)Instructions burned: 183 (million)
% 0.22/0.49 % (10663)------------------------------
% 0.22/0.49 % (10663)------------------------------
% 0.22/0.49 % (10744)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.50 % (10747)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.22/0.50 % (10743)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.22/0.50 % (10743)Instruction limit reached!
% 0.22/0.50 % (10743)------------------------------
% 0.22/0.50 % (10743)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.50 % (10743)Termination reason: Unknown
% 0.22/0.50 % (10743)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (10743)Memory used [KB]: 5500
% 0.22/0.50 % (10743)Time elapsed: 0.006 s
% 0.22/0.50 % (10743)Instructions burned: 6 (million)
% 0.22/0.50 % (10743)------------------------------
% 0.22/0.50 % (10743)------------------------------
% 0.22/0.51 % (10669)First to succeed.
% 0.22/0.51 % (10669)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (10669)------------------------------
% 0.22/0.51 % (10669)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (10669)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (10669)Memory used [KB]: 6268
% 0.22/0.51 % (10669)Time elapsed: 0.129 s
% 0.22/0.51 % (10669)Instructions burned: 211 (million)
% 0.22/0.51 % (10669)------------------------------
% 0.22/0.51 % (10669)------------------------------
% 0.22/0.51 % (10662)Success in time 0.134 s
%------------------------------------------------------------------------------